Plate and Rod Vibrations With Initial Stress

[+] Author and Article Information
T. W. Wright

Department of Mechanics, The Johns Hopkins University, Baltimore, Md.

J. Appl. Mech 33(1), 134-140 (Mar 01, 1966) (7 pages) doi:10.1115/1.3624970 History: Received December 14, 1964; Revised June 09, 1965; Online September 15, 2011


The influence of a homogeneous state of initial stress on the frequency of three-dimensional vibrations of plates and rods is considered. A linear constitutive relation is used and only terms to first power of initial stress are retained in all results. General frequency equations are found and various limiting cases are considered. Membrane and string tension terms appear in the bending modes indicating possible instabilities. In all other limiting cases, frequencies are modified only slightly by the presence of initial stress.

Copyright © 1966 by ASME
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